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Finding the Fourth Proportional to 463.60, 637.87 and 401.23

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Solution

The fourth proportional to 463.60, 637.87 and 401.23 is: 552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.60 : 637.87 = 401.23 : x
  2. Step 2: Convert to fraction form
    463.60/637.87 = 401.23/x
  3. Step 3: Cross multiply
    463.60x = 637.87 × 401.23
  4. Step 4: Simplify right side
    463.60x = 255,932.58
  5. Step 5: Solve for x
    x = 255,932.58/463.60
  6. Step 6: Final answer
    x = 552.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.